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Finding the Third Proportional to 71,969,514 and 156,717,584

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Solution

The third proportional to 71,969,514 and 156,717,584 is: 341,261,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,969,514 : 156,717,584 = 156,717,584 : x
  2. Step 2: Convert to fraction form
    71,969,514/156,717,584 = 156,717,584/x
  3. Step 3: Cross multiply
    71,969,514x = 156,717,584 × 156,717,584
  4. Step 4: Simplify right side
    71,969,514x = 24,560,401,134,797,056
  5. Step 5: Solve for x
    x = 24,560,401,134,797,056/71,969,514
  6. Step 6: Final answer
    x = 341,261,178.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.